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Simplifying 4r6 + 15r3 + -25 = 0 Reorder the terms: -25 + 15r3 + 4r6 = 0 Solving -25 + 15r3 + 4r6 = 0 Solving for variable 'r'. Factor a trinomial. (-5 + -1r3)(5 + -4r3) = 0Subproblem 1
Set the factor '(-5 + -1r3)' equal to zero and attempt to solve: Simplifying -5 + -1r3 = 0 Solving -5 + -1r3 = 0 Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1r3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1r3 = 0 + 5 -1r3 = 0 + 5 Combine like terms: 0 + 5 = 5 -1r3 = 5 Divide each side by '-1'. r3 = -5 Simplifying r3 = -5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + -4r3)' equal to zero and attempt to solve: Simplifying 5 + -4r3 = 0 Solving 5 + -4r3 = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4r3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4r3 = 0 + -5 -4r3 = 0 + -5 Combine like terms: 0 + -5 = -5 -4r3 = -5 Divide each side by '-4'. r3 = 1.25 Simplifying r3 = 1.25 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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